43264000000 has 315 divisors, whose sum is σ = 117114926691. Its totient is φ = 15974400000.

The previous prime is 43263999983. The next prime is 43264000007. The reversal of 43264000000 is 46234.

The square root of 43264000000 is 208000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 20295991296 + 22968008704 = 142464^2 + 151552^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (43264000007) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3327999994 + ... + 3328000006.

Almost surely, 2^43264000000 is an apocalyptic number.

43264000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

43264000000 is the 208000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43264000000

43264000000 is an abundant number, since it is smaller than the sum of its proper divisors (73850926691).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

43264000000 is an frugal number, since it uses more digits than its factorization.

43264000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Multiplying 43264000000 by its product of nonzero digits (576), we get a square (24920064000000 = 4992000²).

Adding to 43264000000 its reverse (46234), we get a palindrome (43264046234).

The spelling of 43264000000 in words is "forty-three billion, two hundred sixty-four million", and thus it is an aban number.